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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 139, Number 2, Pages 209–224
DOI: https://doi.org/10.4213/tmf60 (Mi tmf60) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Relativistic Toda Chains and Schlesinger Transformations

R. I. Yamilov

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (229 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf60
Abstract: We construct the auto-Schlesinger transformations for all equations in the known list of integrable relativistic Toda chains. Our construction is essentially based on the equations being Lagrangian and on a standard transition to their Hamiltonian form; in this case, the transition is described by the changes of variables that are invertible but not pointwise. We discuss two examples of another type that has similar properties; these are also integrable Lagrangian equations allowing the Schlesinger transformation
Keywords: integrability, Toda chain, Lagrangian equations, Hamiltonian equations, autotransformations.
Received: 07.05.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 139, Issue 2, Pages 623–635
DOI: https://doi.org/10.1023/B:TAMP.0000026180.34362.c5
Bibliographic databases:
Language: Russian
Citation: R. I. Yamilov, “Relativistic Toda Chains and Schlesinger Transformations”, TMF, 139:2 (2004), 209–224; Theoret. and Math. Phys., 139:2 (2004), 623–635
Citation in format AMSBIB
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\pages 623--635
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  • https://doi.org/10.4213/tmf60
  • https://www.mathnet.ru/eng/tmf/v139/i2/p209
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :214
    References:72
    First page:1
     
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